101022102002100 has 72 divisors (see below), whose sum is σ = 292430938881760. Its totient is φ = 26926294135680.

The previous prime is 101022102002033. The next prime is 101022102002149. The reversal of 101022102002100 is 1200201220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80205715 + ... + 81455514.

Almost surely, 2^{101022102002100} is an apocalyptic number.

101022102002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022102002100 is an abundant number, since it is smaller than the sum of its proper divisors (191408836879660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101022102002100 is a wasteful number, since it uses less digits than its factorization.

101022102002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161663329 (or 161663322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101022102002100 its reverse (1200201220101), we get a palindrome (102222303222201).

The spelling of 101022102002100 in words is "one hundred one trillion, twenty-two billion, one hundred two million, two thousand, one hundred".